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guajiro [1.7K]
3 years ago
8

Write a vector equation of the line that passes through P(4,7) and is parallel to a= (3,8)

Mathematics
1 answer:
Fed [463]3 years ago
3 0

Answer:

\vec l = (4, 7) + t \cdot (3,8)

Step-by-step explanation:

The vector equation of the line has the following form:

\vec l = \vec P + t \cdot \vec A

\vec l = (4, 7) + t \cdot (3,8)

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SYSTEM OF LINEAR EQUATIONS
Effectus [21]

Answer:

Step-by-step explanation:

x-y=11

2x+y=19

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x=y+11

2(y+11)+y=19

2y+22+y=19

3y+22=19

3y=19-22

3y=-3

y=-3/3

y=-1

x-(-1)=11

x+1=11

x=11-1

x=10

Answer: x=10, y=-1. (10, -1).

-----------------------------------------

-6x+5y=1

6x+4y=-10

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9y=-9

y=-9/9

y=-1

6x+4(-1)=-10

6x-4=-10

6x=-10+4

6x=-6

x=-6/6

x=-1

Answer: x=-1, y=-1. (-1, -1).

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2x+9y=25

-4x-9y=-23

-------------------

-2x=2

x=2/-2

x=-1

2(-1)+9y=25

-2+9y=25

9y=25-(-2)

9y=25+2

9y=27

y=27/9

y=3

Answer: x=-1, y=3. (-1, 3).

4 0
3 years ago
Read 2 more answers
A place from this table is chosen at random. Let event A = The place is a city.
Crank

Answer:

Final answer is P(A^c)=\frac{3}{7}

Step-by-step explanation:

We have been given a table containing a list of few places that are either city or in North America.

Total number of places in that list = 7

That means sample space has 7 possible events.

Given that a place from this table is chosen at random. Let event A = The place is a city.

Now we need to find about what is P(A^c).

That means find find the probability that chosen place is not a city.

there are 3 places in the list which are not city.

Hence favorable number of events = 3

Then required probability is given by favorable/total events.

P(A^c)=\frac{3}{7}

6 0
3 years ago
Is pi 3.14 or 22/7 whis of this is pi?
Tomtit [17]

Answer:

Both

Step-by-step explanation:

22/7 is the fraction version of pi

4 0
3 years ago
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7. All quadrilaterals have 4 sides and a trapezoid is a quadrilateral. How many sides does a trapezoid have? A: 5 B: 4 C: 3 D: 2
nata0808 [166]

Answer:

B: 4

Step-by-step explanation:

A trapezoid have 4 sides.

Hope it helps you in your learning process

5 0
3 years ago
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Rewrite each expression using the distributive property. Then combine like terms if possible. 2(x+4
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Step-by-step explanation:

Step 1: Multiply the 2 with the X to get 2X.

Step 2: multiply the 2 with the 4 and get 8

Step 3: your answer is 2X+8

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3 years ago
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